<?xml version="1.0"?>

<ownershipDocument>

    <documentType>4</documentType>

    <periodOfReport>2003-06-06</periodOfReport>


    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000895007</issuerCik>
        <issuerName>WILLIAMS COAL SEAM GAS ROYALTY TRUST</issuerName>
        <issuerTradingSymbol>WTU</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000777001</rptOwnerCik>
            <rptOwnerName>BEAR STEARNS COMPANIES INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>  </rptOwnerStreet1>
            <rptOwnerStreet2>  </rptOwnerStreet2>
            <rptOwnerCity>  </rptOwnerCity>
            <rptOwnerState>  </rptOwnerState>
            <rptOwnerZipCode>  </rptOwnerZipCode>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeSecurity>
        <securityTitle>
            <value>Units of beneficial interest</value>
        </securityTitle>
        <transactionDate>
            <value>2003-06-06</value>
        </transactionDate>
        <deemedExecutionDate>
            <value>2003-06-06</value>
        </deemedExecutionDate>
        <transactionCoding>
            <transactionFormType>4</transactionFormType>
            <transactionCode>J</transactionCode>
            <equitySwapInvolved>0</equitySwapInvolved>
            <footnoteId id="F1"/>
        </transactionCoding>
        <transactionTimeliness>
            <value></value>
        </transactionTimeliness>
        <transactionAmounts>
            <transactionShares>
                <value>2408791</value>
            </transactionShares>
            <transactionValue>
                <value>2.4966</value>
            </transactionValue>
            <transactionAcquiredDisposedCode>
                <value>D</value>
            </transactionAcquiredDisposedCode>
        </transactionAmounts>
        <postTransactionAmounts>
            <sharesOwnedFollowingTransaction>
                <value>0</value>
            </sharesOwnedFollowingTransaction>
        </postTransactionAmounts>
        <ownershipNature>
            <directOrIndirectOwnership>
                <value>I</value>
            </directOrIndirectOwnership>
            <natureOfOwnership>
                <value>By Quatro Finale IV LLC</value>
                <footnoteId id="F2"/>
                <footnoteId id="F3"/>
            </natureOfOwnership>
        </ownershipNature>
    </nonDerivativeSecurity>

    <footnotes>
        <footnote id="F1">Re-acquired by The Williams Companies Inc. pursuant to the exercise of an outstanding call option</footnote>
        <footnote id="F2">The Designated Filer is a member of Quatro Finale IV LLC, which owns the reported securities.</footnote>
        <footnote id="F3">Joint filing of The Bear Stearns Companies Inc. (Designated Filer) and Quatro Finale IV LLC, each located at 383 Madison Avenue, New York,NY 10179.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Kenneth L. Edlow, Secy, The Bear Stearns Companies Inc.</signatureName>
        <signatureDate>2003-06-09</signatureDate>
    </ownerSignature>
    <ownerSignature>
        <signatureName>Bruce E. Geismar, Pres. Bear Stearns N.Y.,Inc., Mbr. Quatro Finale IV LLC</signatureName>
        <signatureDate>2003-06-09</signatureDate>
    </ownerSignature>

</ownershipDocument>

